102400974 has 48 divisors (see below), whose sum is σ = 244516272. Its totient is φ = 30772224.

The previous prime is 102400973. The next prime is 102400981. The reversal of 102400974 is 479004201.

It is a happy number.

It is a super-2 number, since 2×102400974² = 20971918952297352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4974 + ... + 15150.

It is an arithmetic number, because the mean of its divisors is an integer number (5094089).

Almost surely, 2^102400974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102400974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122258136).

102400974 is an abundant number, since it is smaller than the sum of its proper divisors (142115298).

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

102400974 is a wasteful number, since it uses less digits than its factorization.

102400974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10241 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102400974 is about 10119.3366383375. The cubic root of 102400974 is about 467.8443214392.

The spelling of 102400974 in words is "one hundred two million, four hundred thousand, nine hundred seventy-four".