101788002 has 40 divisors (see below), whose sum is σ = 230375772. Its totient is φ = 33588000.

The previous prime is 101787991. The next prime is 101788019. The reversal of 101788002 is 200887101.

It can be written as a sum of positive squares in 2 ways, for example, as 101787921 + 81 = 10089^2 + 9^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13252 + ... + 19472.

Almost surely, 2^101788002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101788002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115187886).

101788002 is an abundant number, since it is smaller than the sum of its proper divisors (128587770).

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

101788002 is a wasteful number, since it uses less digits than its factorization.

101788002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6336 (or 6327 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 101788002 is about 10089.0040142722. The cubic root of 101788002 is about 466.9089475485.

Subtracting 101788002 from its reverse (200887101), we obtain a palindrome (99099099).

The spelling of 101788002 in words is "one hundred one million, seven hundred eighty-eight thousand, two".