101347400 has 96 divisors (see below), whose sum is σ = 293820480. Its totient is φ = 31584000.

The previous prime is 101347391. The next prime is 101347409. The reversal of 101347400 is 4743101.

It is an interprime number because it is at equal distance from previous prime (101347391) and next prime (101347409).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (101347409) 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, 12110 + ... + 18690.

It is an arithmetic number, because the mean of its divisors is an integer number (3060630).

Almost surely, 2^101347400 is an apocalyptic number.

101347400 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 101347400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146910240).

101347400 is an abundant number, since it is smaller than the sum of its proper divisors (192473080).

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

101347400 is a wasteful number, since it uses less digits than its factorization.

101347400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 101347400 is about 10067.1445802670. The cubic root of 101347400 is about 466.2342820424.

The spelling of 101347400 in words is "one hundred one million, three hundred forty-seven thousand, four hundred".