101253078 has 40 divisors (see below), whose sum is σ = 227644560. Its totient is φ = 33637680.

The previous prime is 101253073. The next prime is 101253079. The reversal of 101253078 is 870352101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101253073) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57288 + ... + 59028.

It is an arithmetic number, because the mean of its divisors is an integer number (5691114).

Almost surely, 2^101253078 is an apocalyptic number.

101253078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101253078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113822280).

101253078 is an abundant number, since it is smaller than the sum of its proper divisors (126391482).

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

101253078 is a wasteful number, since it uses less digits than its factorization.

101253078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 101253078 is about 10062.4588446363. The cubic root of 101253078 is about 466.0895988386.

It can be divided in two parts, 10125 and 3078, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 101253078 in words is "one hundred one million, two hundred fifty-three thousand, seventy-eight".