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106640752220 = 225831573731097
BaseRepresentation
bin110001101010001001…
…0001011111001011100
3101012020222101111201122
41203110102023321130
53221400013032340
6120553505230112
710463441303102
oct1432422137134
9335228344648
10106640752220
1141253a19582
1218801932338
13a096572122
145238dc3c72
152b9223edb5
hex18d448be5c

106640752220 has 96 divisors (see below), whose sum is σ = 228907280448. Its totient is φ = 41723615232.

The previous prime is 106640752217. The next prime is 106640752247. The reversal of 106640752220 is 22257046601.

It is a super-2 number, since 2×1066407522202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97210712 + ... + 97211808.

It is an arithmetic number, because the mean of its divisors is an integer number (2384450838).

Almost surely, 2106640752220 is an apocalyptic number.

106640752220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106640752220 is an abundant number, since it is smaller than the sum of its proper divisors (122266528228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106640752220 is a wasteful number, since it uses less digits than its factorization.

106640752220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 106640752220 its reverse (22257046601), we get a palindrome (128897798821).

The spelling of 106640752220 in words is "one hundred six billion, six hundred forty million, seven hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 83 157 166 314 332 373 415 628 746 785 830 1097 1492 1570 1660 1865 2194 3140 3730 4388 5485 7460 10970 13031 21940 26062 30959 52124 58561 61918 65155 91051 117122 123836 130310 154795 172229 182102 234244 260620 292805 309590 344458 364204 409181 455255 585610 619180 688916 818362 861145 910510 1171220 1636724 1722290 1821020 2045905 3444580 4091810 4860563 8183620 9721126 14295007 19442252 24302815 28590014 33962023 48605630 57180028 64241417 67924046 71475035 97211260 128482834 135848092 142950070 169810115 256965668 285900140 321207085 339620230 642414170 679240460 1284828340 5332037611 10664075222 21328150444 26660188055 53320376110 106640752220