102492000738 has 96 divisors (see below), whose sum is σ = 236972689200. Its totient is φ = 31952890368.

The previous prime is 102492000719. The next prime is 102492000823. The reversal of 102492000738 is 837000294201.

It can be written as a sum of positive squares in 8 ways, for example, as 67201748289 + 35290252449 = 259233^2 + 187857^2 .

It is a super-2 number, since 2×102492000738² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4411320 + ... + 4434492.

Almost surely, 2^102492000738 is an apocalyptic number.

102492000738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102492000738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118486344600).

102492000738 is an abundant number, since it is smaller than the sum of its proper divisors (134480688462).

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

102492000738 is a wasteful number, since it uses less digits than its factorization.

With its successor (102492000739) it forms an eRAP, since the sums of their prime factors are consecutive (23476 and 23477).

102492000738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23476 (or 23473 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 102492000738 its reverse (837000294201), we get a palindrome (939492294939).

The spelling of 102492000738 in words is "one hundred two billion, four hundred ninety-two million, seven hundred thirty-eight", and thus it is an aban number.