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106956350 = 25217294339
BaseRepresentation
bin1100110000000…
…00011000111110
321110020221112022
412120000120332
5204340100400
614340240142
72436054044
oct630003076
9243227468
10106956350
1155412986
122b9a0052
131920aba7
14102c2394
1595cab85
hex660063e

106956350 has 48 divisors (see below), whose sum is σ = 217954800. Its totient is φ = 38868480.

The previous prime is 106956347. The next prime is 106956419. The reversal of 106956350 is 53659601.

It is a super-2 number, since 2×1069563502 = 22879321610645000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106956350.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22481 + ... + 26819.

It is an arithmetic number, because the mean of its divisors is an integer number (4540725).

Almost surely, 2106956350 is an apocalyptic number.

106956350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106956350 is an abundant number, since it is smaller than the sum of its proper divisors (110998450).

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

106956350 is a wasteful number, since it uses less digits than its factorization.

106956350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 35.

The square root of 106956350 is about 10341.9703151769. The cubic root of 106956350 is about 474.6813744978.

The spelling of 106956350 in words is "one hundred six million, nine hundred fifty-six thousand, three hundred fifty".

Divisors: 1 2 5 10 17 25 29 34 50 58 85 145 170 290 425 493 725 850 986 1450 2465 4339 4930 8678 12325 21695 24650 43390 73763 108475 125831 147526 216950 251662 368815 629155 737630 1258310 1844075 2139127 3145775 3688150 4278254 6291550 10695635 21391270 53478175 106956350