101758268040 has 384 divisors, whose sum is σ = 364352929920. Its totient is φ = 22414233600.

The previous prime is 101758267987. The next prime is 101758268047. The reversal of 101758268040 is 40862857101.

It is a super-2 number, since 2×101758268040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101758267983 and 101758268001.

It is not an unprimeable number, because it can be changed into a prime (101758268047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77030580 + ... + 77031900.

It is an arithmetic number, because the mean of its divisors is an integer number (948835755).

Almost surely, 2^101758268040 is an apocalyptic number.

101758268040 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 101758268040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182176464960).

101758268040 is an abundant number, since it is smaller than the sum of its proper divisors (262594661880).

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

101758268040 is a wasteful number, since it uses less digits than its factorization.

101758268040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 101758268040 in words is "one hundred one billion, seven hundred fifty-eight million, two hundred sixty-eight thousand, forty".