102776640 has 112 divisors (see below), whose sum is σ = 328940160. Its totient is φ = 27187200.

The previous prime is 102776621. The next prime is 102776647. The reversal of 102776640 is 46677201.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102776647) 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, 144606 + ... + 145314.

Almost surely, 2^102776640 is an apocalyptic number.

102776640 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 102776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164470080).

102776640 is an abundant number, since it is smaller than the sum of its proper divisors (226163520).

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

102776640 is a wasteful number, since it uses less digits than its factorization.

102776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 102776640 is about 10137.8814354874. The cubic root of 102776640 is about 468.4157311094.

The spelling of 102776640 in words is "one hundred two million, seven hundred seventy-six thousand, six hundred forty".