102477672 has 96 divisors (see below), whose sum is σ = 309329280. Its totient is φ = 30382080.

The previous prime is 102477667. The next prime is 102477689. The reversal of 102477672 is 276774201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35848 + ... + 38600.

It is an arithmetic number, because the mean of its divisors is an integer number (3222180).

Almost surely, 2^102477672 is an apocalyptic number.

102477672 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 102477672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154664640).

102477672 is an abundant number, since it is smaller than the sum of its proper divisors (206851608).

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

102477672 is a wasteful number, since it uses less digits than its factorization.

102477672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 102477672 is about 10123.1256042786. The cubic root of 102477672 is about 467.9610969196.

It can be divided in two parts, 102 and 477672, that added together give a palindrome (477774).

The spelling of 102477672 in words is "one hundred two million, four hundred seventy-seven thousand, six hundred seventy-two".