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106545330132 = 223157179315937
BaseRepresentation
bin110001100111010011…
…0001011011111010100
3101012000022211120020020
41203032212023133110
53221201101031012
6120540220105140
710461202235433
oct1431646133724
9335008746206
10106545330132
114120507454a
12187959951b0
13a07c872257
14522a46511a
152b88b91a8c
hex18ce98b7d4

106545330132 has 48 divisors (see below), whose sum is σ = 251587748160. Its totient is φ = 35091643392.

The previous prime is 106545330119. The next prime is 106545330181. The reversal of 106545330132 is 231033545601.

It is a super-2 number, since 2×1065453301322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106545330093 and 106545330102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179268 + ... + 495204.

It is an arithmetic number, because the mean of its divisors is an integer number (5241411420).

Almost surely, 2106545330132 is an apocalyptic number.

106545330132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106545330132 is an abundant number, since it is smaller than the sum of its proper divisors (145042418028).

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

106545330132 is a wasteful number, since it uses less digits than its factorization.

106545330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316280 (or 316278 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 106545330132 its reverse (231033545601), we get a palindrome (337578875733).

The spelling of 106545330132 in words is "one hundred six billion, five hundred forty-five million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 157 179 314 358 471 537 628 716 942 1074 1884 2148 28103 56206 84309 112412 168618 315937 337236 631874 947811 1263748 1895622 3791244 49602109 56552723 99204218 113105446 148806327 169658169 198408436 226210892 297612654 339316338 595225308 678632676 8878777511 17757555022 26636332533 35515110044 53272665066 106545330132