102671150400 has 2016 divisors, whose sum is σ = 484156512000. Its totient is φ = 21134131200.

The previous prime is 102671150389. The next prime is 102671150437. The reversal of 102671150400 is 4051176201.

It is a happy number.

102671150400 is a `hidden beast` number, since 102 + 6 + 7 + 1 + 150 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-4 number, since 4×102671150400⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2504174380 + ... + 2504174420.

It is an arithmetic number, because the mean of its divisors is an integer number (240157000).

Almost surely, 2^102671150400 is an apocalyptic number.

102671150400 is a gapful number since it is divisible by the number (10) 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 102671150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242078256000).

102671150400 is an abundant number, since it is smaller than the sum of its proper divisors (381485361600).

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

102671150400 is a wasteful number, since it uses less digits than its factorization.

102671150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 102671150400 in words is "one hundred two billion, six hundred seventy-one million, one hundred fifty thousand, four hundred".