102746040 has 128 divisors (see below), whose sum is σ = 321917760. Its totient is φ = 26210304.

The previous prime is 102746009. The next prime is 102746047. The reversal of 102746040 is 40647201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102746040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102746047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323962 + ... + 324278.

Almost surely, 2^102746040 is an apocalyptic number.

102746040 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 102746040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160958880).

102746040 is an abundant number, since it is smaller than the sum of its proper divisors (219171720).

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

102746040 is a wasteful number, since it uses less digits than its factorization.

102746040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 102746040 is about 10136.3721320796. The cubic root of 102746040 is about 468.3692388840.

The spelling of 102746040 in words is "one hundred two million, seven hundred forty-six thousand, forty".