102774000 has 160 divisors (see below), whose sum is σ = 378832896. Its totient is φ = 23481600.

The previous prime is 102773987. The next prime is 102774013. The reversal of 102774000 is 477201.

It is an interprime number because it is at equal distance from previous prime (102773987) and next prime (102774013).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 40777 + ... + 43223.

Almost surely, 2^102774000 is an apocalyptic number.

102774000 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 102774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189416448).

102774000 is an abundant number, since it is smaller than the sum of its proper divisors (276058896).

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

102774000 is a wasteful number, since it uses less digits than its factorization.

102774000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 102774000 is about 10137.7512299326. The cubic root of 102774000 is about 468.4117203792.

The spelling of 102774000 in words is "one hundred two million, seven hundred seventy-four thousand".