101388000 has 384 divisors, whose sum is σ = 407586816. Its totient is φ = 21504000.

The previous prime is 101387987. The next prime is 101388059. The reversal of 101388000 is 883101.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1427965 + ... + 1428035.

It is an arithmetic number, because the mean of its divisors is an integer number (1061424).

Almost surely, 2^101388000 is an apocalyptic number.

101388000 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 101388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203793408).

101388000 is an abundant number, since it is smaller than the sum of its proper divisors (306198816).

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

101388000 is a wasteful number, since it uses less digits than its factorization.

101388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 101388000 is about 10069.1608389180. The cubic root of 101388000 is about 466.2965319036.

The spelling of 101388000 in words is "one hundred one million, three hundred eighty-eight thousand".