101034864 has 300 divisors, whose sum is σ = 357485304. Its totient is φ = 27433728.

The previous prime is 101034851. The next prime is 101034937. The reversal of 101034864 is 468430101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2349627 + ... + 2349669.

Almost surely, 2^101034864 is an apocalyptic number.

101034864 is a gapful number since it is divisible by the number (14) 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 101034864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178742652).

101034864 is an abundant number, since it is smaller than the sum of its proper divisors (256450440).

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

101034864 is a wasteful number, since it uses less digits than its factorization.

101034864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 101034864 is about 10051.6100202903. The cubic root of 101034864 is about 465.7545294277.

Adding to 101034864 its reverse (468430101), we get a palindrome (569464965).

The spelling of 101034864 in words is "one hundred one million, thirty-four thousand, eight hundred sixty-four".