101696406240 has 768 divisors, whose sum is σ = 403556235264. Its totient is φ = 21167308800.

The previous prime is 101696406233. The next prime is 101696406247. The reversal of 101696406240 is 42604696101.

It is an interprime number because it is at equal distance from previous prime (101696406233) and next prime (101696406247).

It is a super-2 number, since 2×101696406240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101696406247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58411770 + ... + 58413510.

It is an arithmetic number, because the mean of its divisors is an integer number (525463848).

Almost surely, 2^101696406240 is an apocalyptic number.

101696406240 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 101696406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201778117632).

101696406240 is an abundant number, since it is smaller than the sum of its proper divisors (301859829024).

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

101696406240 is a wasteful number, since it uses less digits than its factorization.

101696406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 101696406240 in words is "one hundred one billion, six hundred ninety-six million, four hundred six thousand, two hundred forty".