101399040 has 240 divisors, whose sum is σ = 366414048. Its totient is φ = 26873856.

The previous prime is 101399021. The next prime is 101399059. The reversal of 101399040 is 40993101.

It is an interprime number because it is at equal distance from previous prime (101399021) and next prime (101399059).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 101398995 and 101399013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621999 + ... + 622161.

Almost surely, 2^101399040 is an apocalyptic number.

101399040 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 101399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183207024).

101399040 is an abundant number, since it is smaller than the sum of its proper divisors (265015008).

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

101399040 is an frugal number, since it uses more digits than its factorization.

101399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 101399040 is about 10069.7090325391. The cubic root of 101399040 is about 466.3134560855.

The spelling of 101399040 in words is "one hundred one million, three hundred ninety-nine thousand, forty".