102834144 has 192 divisors, whose sum is σ = 350784000. Its totient is φ = 29296512.

The previous prime is 102834133. The next prime is 102834163. The reversal of 102834144 is 441438201.

It is a super-2 number, since 2×102834144² = 21149722344425472, which contains 22 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 31 ways as a sum of consecutive naturals, for example, 296179 + ... + 296525.

It is an arithmetic number, because the mean of its divisors is an integer number (1827000).

Almost surely, 2^102834144 is an apocalyptic number.

102834144 is a gapful number since it is divisible by the number (14) 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 102834144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175392000).

102834144 is an abundant number, since it is smaller than the sum of its proper divisors (247949856).

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

102834144 is an equidigital number, since it uses as much as digits as its factorization.

102834144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 102834144 is about 10140.7171344043. The cubic root of 102834144 is about 468.5030750694.

The spelling of 102834144 in words is "one hundred two million, eight hundred thirty-four thousand, one hundred forty-four".