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106952597240 = 23513120410801
BaseRepresentation
bin110001110011011011…
…1110001111011111000
3101020001201011212200012
41203212313301323320
53223014331102430
6121044445201052
710504246035206
oct1434667617370
9336051155605
10106952597240
11413a3a53335
121888a260188
13a1160594c8
14526859c076
152bae7dd695
hex18e6df1ef8

106952597240 has 32 divisors (see below), whose sum is σ = 242480327760. Its totient is φ = 42454464000.

The previous prime is 106952597237. The next prime is 106952597243. The reversal of 106952597240 is 42795259601.

It is an interprime number because it is at equal distance from previous prime (106952597237) and next prime (106952597243).

It is a super-2 number, since 2×1069525972402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106952597243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10200161 + ... + 10210640.

Almost surely, 2106952597240 is an apocalyptic number.

106952597240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106952597240 is an abundant number, since it is smaller than the sum of its proper divisors (135527730520).

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

106952597240 is a wasteful number, since it uses less digits than its factorization.

106952597240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20410943 (or 20410939 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 50.

The spelling of 106952597240 in words is "one hundred six billion, nine hundred fifty-two million, five hundred ninety-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 1048 1310 2620 5240 20410801 40821602 81643204 102054005 163286408 204108010 408216020 816432040 2673814931 5347629862 10695259724 13369074655 21390519448 26738149310 53476298620 106952597240