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102158364 = 223711219232
BaseRepresentation
bin1100001011011…
…01000000011100
321010020011221010
412011231000130
5202123031424
614045335220
72350221540
oct605550034
9233204833
10102158364
1152736100
122a267510
131821b049
14d7d3a20
158e7e229
hex616d01c

102158364 has 216 divisors, whose sum is σ = 329499520. Its totient is φ = 24045120.

The previous prime is 102158351. The next prime is 102158377. The reversal of 102158364 is 463851201.

It is an interprime number because it is at equal distance from previous prime (102158351) and next prime (102158377).

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 71 ways as a sum of consecutive naturals, for example, 4441657 + ... + 4441679.

Almost surely, 2102158364 is an apocalyptic number.

102158364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102158364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164749760).

102158364 is an abundant number, since it is smaller than the sum of its proper divisors (227341156).

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

102158364 is a wasteful number, since it uses less digits than its factorization.

102158364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 102158364 is about 10107.3420838517. The cubic root of 102158364 is about 467.4745545551.

The spelling of 102158364 in words is "one hundred two million, one hundred fifty-eight thousand, three hundred sixty-four".