102477312 has 200 divisors, whose sum is σ = 350553456. Its totient is φ = 29196288.

The previous prime is 102477281. The next prime is 102477337. The reversal of 102477312 is 213774201.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 290128 + ... + 290480.

Almost surely, 2^102477312 is an apocalyptic number.

102477312 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 102477312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175276728).

102477312 is an abundant number, since it is smaller than the sum of its proper divisors (248076144).

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

102477312 is an frugal number, since it uses more digits than its factorization.

102477312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 102477312 is about 10123.1078231934. The cubic root of 102477312 is about 467.9605489427.

The spelling of 102477312 in words is "one hundred two million, four hundred seventy-seven thousand, three hundred twelve".