101061400 has 96 divisors (see below), whose sum is σ = 260340480. Its totient is φ = 36176000.

The previous prime is 101061397. The next prime is 101061403. The reversal of 101061400 is 4160101.

It is an interprime number because it is at equal distance from previous prime (101061397) and next prime (101061403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101061403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155877 + ... + 156523.

It is an arithmetic number, because the mean of its divisors is an integer number (2711880).

Almost surely, 2^101061400 is an apocalyptic number.

101061400 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 101061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130170240).

101061400 is an abundant number, since it is smaller than the sum of its proper divisors (159279080).

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

101061400 is a wasteful number, since it uses less digits than its factorization.

101061400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101061400 is about 10052.9299211722. The cubic root of 101061400 is about 465.7953014273.

The spelling of 101061400 in words is "one hundred one million, sixty-one thousand, four hundred".