102412152 has 72 divisors (see below), whose sum is σ = 285339600. Its totient is φ = 33182784.

The previous prime is 102412139. The next prime is 102412159. The reversal of 102412152 is 251214201.

102412152 is a `hidden beast` number, since 102 + 412 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×102412152² = 20976497754542208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102412159) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 98049 + ... + 99087.

It is an arithmetic number, because the mean of its divisors is an integer number (3963050).

Almost surely, 2^102412152 is an apocalyptic number.

102412152 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 102412152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142669800).

102412152 is an abundant number, since it is smaller than the sum of its proper divisors (182927448).

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

102412152 is a wasteful number, since it uses less digits than its factorization.

102412152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102412152 is about 10119.8889321968. Note that the first 3 decimals coincide. The cubic root of 102412152 is about 467.8613439776.

Adding to 102412152 its reverse (251214201), we get a palindrome (353626353).

The spelling of 102412152 in words is "one hundred two million, four hundred twelve thousand, one hundred fifty-two".