102764920 has 64 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 37243008.

The previous prime is 102764899. The next prime is 102764927. The reversal of 102764920 is 29467201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102764927) 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, 14541 + ... + 20419.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2^102764920 is an apocalyptic number.

102764920 is a gapful number since it is divisible by the number (10) 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 102764920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

102764920 is an abundant number, since it is smaller than the sum of its proper divisors (151251080).

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

102764920 is a wasteful number, since it uses less digits than its factorization.

102764920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5932 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 102764920 is about 10137.3033889689. The cubic root of 102764920 is about 468.3979253737.

It can be divided in two parts, 102764 and 920, that added together give a square (103684 = 322²).

The spelling of 102764920 in words is "one hundred two million, seven hundred sixty-four thousand, nine hundred twenty".