102456575749 has 32 divisors (see below), whose sum is σ = 118909562112. Its totient is φ = 87246720000.

The previous prime is 102456575693. The next prime is 102456575863. The reversal of 102456575749 is 947575654201.

It is not a de Polignac number, because 102456575749 - 2¹¹ = 102456573701 is a prime.

It is a super-2 number, since 2×102456575749² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102456575749.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102456573749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40162024 + ... + 40164574.

It is an arithmetic number, because the mean of its divisors is an integer number (3715923816).

Almost surely, 2^102456575749 is an apocalyptic number.

It is an amenable number.

102456575749 is a deficient number, since it is larger than the sum of its proper divisors (16452986363).

102456575749 is a wasteful number, since it uses less digits than its factorization.

102456575749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517.

The product of its (nonzero) digits is 10584000, while the sum is 55.

The spelling of 102456575749 in words is "one hundred two billion, four hundred fifty-six million, five hundred seventy-five thousand, seven hundred forty-nine".