102150672 has 80 divisors (see below), whose sum is σ = 286648320. Its totient is φ = 31159296.

The previous prime is 102150667. The next prime is 102150677. The reversal of 102150672 is 276051201.

It is an interprime number because it is at equal distance from previous prime (102150667) and next prime (102150677).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102150677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78604 + ... + 79892.

It is an arithmetic number, because the mean of its divisors is an integer number (3583104).

Almost surely, 2^102150672 is an apocalyptic number.

102150672 is a gapful number since it is divisible by the number (12) 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 102150672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143324160).

102150672 is an abundant number, since it is smaller than the sum of its proper divisors (184497648).

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

102150672 is a wasteful number, since it uses less digits than its factorization.

102150672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 102150672 is about 10106.9615612211. The cubic root of 102150672 is about 467.4628214498.

The spelling of 102150672 in words is "one hundred two million, one hundred fifty thousand, six hundred seventy-two".